Journal of Applied Mathematics (Jan 2014)
On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces
Abstract
We study two nonuniform polynomial trichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give summation property for nonuniform polynomial trichotomies. As for applications we obtain characterization of these concepts in terms of Lyapunov functions.